New Results on Stabilization of Fractional‐Order Nonlinear Systems via an LMI Approach
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DOI: 10.1002/asjc.1644
Abstract: This paper considers the systematic design of robust stabilizing state feedback controllers for fractional-order nonlinear systems. By using the Lyapunov direct method and a recent result on the Caputo fractional derivative of a quadratic function,… read more here.
Keywords: results stabilization; fractional order; new results; nonlinear systems ... See more keywords
Robust Control of Positive Fractional‐Order Interconnected Systems with Heterogeneous Delays
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DOI: 10.1002/asjc.1739
Abstract: The problem of robust decentralized control of positive fractional‐order interconnected systems with heterogeneous time‐varying delays is studied in this paper. Necessary and sufficient conditions are first derived for internal positiveness of the system. By exploiting… read more here.
Keywords: interconnected systems; positive fractional; fractional order; control positive ... See more keywords
Global projective lag synchronization of fractional order memristor based BAM neural networks with mixed time varying delays
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DOI: 10.1002/asjc.2075
Abstract: This paper addresses Master–Slave synchronization for some memristor‐based fractional‐order BAM neural networks (MFBNNs) with mixed time varying delays and switching jumps mismatch. Firstly, considering the inherent characteristic of FMNNs, a new type of fractional‐order differential… read more here.
Keywords: synchronization; projective lag; lag synchronization; fractional order ... See more keywords
Nonlinear modeling of PEMFC based on fractional order subspace identification
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DOI: 10.1002/asjc.2092
Abstract: Aiming at the multivariable, nonlinear and fractional‐order characteristics of proton exchange membrane fuel cell (PEMFC), this paper presents a nonlinear state space model based on a novel fractional Hammerstein model subspace identification theory. To reduce… read more here.
Keywords: fractional order; subspace identification; model; order ... See more keywords
Leader‐following consensus of heterogenous fractional‐order multi‐agent systems under input delays
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DOI: 10.1002/asjc.2137
Abstract: In this paper, over fixed directed communication graph, the leader‐following consensus of heterogenous fractional‐order multi‐agent systems (HFOMASs) is investigated with respect to input delays, where the fractional orders between leader and followers are heterogenous, which… read more here.
Keywords: input delays; fractional order; leader following; following consensus ... See more keywords
Hybrid control of synchronization of fractional order nonlinear systems
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DOI: 10.1002/asjc.2269
Abstract: Under the existence of model uncertainties and external disturbance, finite-time projective synchronization between two identical complex and two identical real fractional-order (FO) chaotic systems are achieved by employing FO sliding mode control approach. In this… read more here.
Keywords: hybrid control; control; fractional order; control synchronization ... See more keywords
Solution of fractional order heat equation via triple Laplace transform in 2 dimensions
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DOI: 10.1002/mma.4646
Abstract: In this article, we introduce the triple Laplace transform for the solution of a class of fractional order partial differential equations. As a consequence, fractional order homogeneous heat equation in 2 dimensions is investigated in… read more here.
Keywords: fractional order; triple laplace; laplace transform; laplace ... See more keywords
Learning formation control for fractional‐order multiagent systems
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DOI: 10.1002/mma.4948
Abstract: Math Meth Appl Sci. 2018;41:5003–5014. In this paper, we use 2 iterative learning control schemes (P‐type and PI‐type) with an initial learning rule to achieve the formation control of linear fractional‐order multiagent systems. To realize… read more here.
Keywords: order multiagent; control; fractional order; multiagent systems ... See more keywords
Controllability of nonlinear fractional order integrodifferential system with input delay
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DOI: 10.1002/mma.5613
Abstract: This paper addressed the controllability of nonlinear fractional order integrodifferential systems with input delay. Firstly, the Caputo fractional derivatives and the Mittag‐Leffler functions are employed. Thereafter, we establish a set of sufficient and necessary conditions… read more here.
Keywords: controllability; input delay; system; fractional order ... See more keywords
Using a numerical method by omitting discretization of data to study numerical solutions for boundary value problems of fractional order differential equations
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DOI: 10.1002/mma.5800
Abstract: This manuscript is concerned to the numerical solutions by using shifted Jacobi polynomials (SJPs). By means of these polynomials, we construct some operational matrices (OMs) of fractional order integration and differentiation omitting collocations or discretization… read more here.
Keywords: order; numerical solutions; fractional order; numerical method ... See more keywords
Design of a class of fractional‐order hyperchaotic multidirectional multi‐scroll attractors
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DOI: 10.1002/mma.5922
Abstract: In this paper, we aim to construct novel complex fractional‐order hyperchaotic multi‐scroll (FOHCMS) attractors from a simple structure by employing nonlinearities with different forming mechanism. In particular, saturated nonlinear function series, stair nonlinear function series,… read more here.
Keywords: order hyperchaotic; multi; fractional order; multi scroll ... See more keywords